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5048257950 = 23252175312451
BaseRepresentation
bin1001011001110011…
…00100110110011110
3111000211012002000200
410230321210312132
540314323223300
62152533404330
7236046325131
oct45471446636
914024162020
105048257950
112160678a0a
12b8a7996a6
13625b570a8
1435c664218
151e82da200
hex12ce64d9e

5048257950 has 144 divisors (see below), whose sum is σ = 14632942896. Its totient is φ = 1243008000.

The previous prime is 5048257931. The next prime is 5048257957. The reversal of 5048257950 is 597528405.

5048257950 is a `hidden beast` number, since 50 + 482 + 5 + 79 + 50 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 5048257896 and 5048257905.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5048257957) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 399225 + ... + 411675.

It is an arithmetic number, because the mean of its divisors is an integer number (101617659).

Almost surely, 25048257950 is an apocalyptic number.

5048257950 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 5048257950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7316471448).

5048257950 is an abundant number, since it is smaller than the sum of its proper divisors (9584684946).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

5048257950 is a wasteful number, since it uses less digits than its factorization.

5048257950 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12539 (or 12531 counting only the distinct ones).

The product of its (nonzero) digits is 504000, while the sum is 45.

The square root of 5048257950 is about 71051.0939395024. The cubic root of 5048257950 is about 1715.4596710302.

The spelling of 5048257950 in words is "five billion, forty-eight million, two hundred fifty-seven thousand, nine hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 17 18 25 30 34 45 50 51 53 75 85 90 102 106 150 153 159 170 225 255 265 306 318 425 450 477 510 530 765 795 850 901 954 1275 1325 1530 1590 1802 2385 2550 2650 2703 3825 3975 4505 4770 5406 7650 7950 8109 9010 11925 12451 13515 16218 22525 23850 24902 27030 37353 40545 45050 62255 67575 74706 81090 112059 124510 135150 186765 202725 211667 224118 311275 373530 405450 423334 560295 622550 635001 659903 933825 1058335 1120590 1270002 1319806 1867650 1905003 1979709 2116670 2801475 3175005 3299515 3810006 3959418 5291675 5602950 5939127 6350010 6599030 9525015 9898545 10583350 11218351 11878254 15875025 16497575 19050030 19797090 22436702 29695635 31750050 32995150 33655053 47625075 49492725 56091755 59391270 67310106 95250150 98985450 100965159 112183510 148478175 168275265 201930318 280458775 296956350 336550530 504825795 560917550 841376325 1009651590 1682752650 2524128975 5048257950