Search a number
-
+
48090502720 = 2651319995783
BaseRepresentation
bin101100110010011010…
…101101011001000000
311121010111202122210101
4230302122231121000
51241442132041340
634031550212144
73321504346201
oct546232553100
9147114678711
1048090502720
1119438920527
1293a14b4054
1346c5292390
142482cb35a8
1513b6e0cc9a
hexb326ad640

48090502720 has 112 divisors (see below), whose sum is σ = 123407424000. Its totient is φ = 17744541696.

The previous prime is 48090502711. The next prime is 48090502721. The reversal of 48090502720 is 2720509084.

It is a super-3 number, since 3×480905027203 (a number of 33 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 48090502720.

It is not an unprimeable number, because it can be changed into a prime (48090502721) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8312949 + ... + 8318731.

It is an arithmetic number, because the mean of its divisors is an integer number (1101852000).

Almost surely, 248090502720 is an apocalyptic number.

48090502720 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48090502720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61703712000).

48090502720 is an abundant number, since it is smaller than the sum of its proper divisors (75316921280).

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

48090502720 is a wasteful number, since it uses less digits than its factorization.

48090502720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7812 (or 7802 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 37.

The spelling of 48090502720 in words is "forty-eight billion, ninety million, five hundred two thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 64 65 80 104 130 160 208 260 320 416 520 832 1040 1999 2080 3998 4160 5783 7996 9995 11566 15992 19990 23132 25987 28915 31984 39980 46264 51974 57830 63968 75179 79960 92528 103948 115660 127936 129935 150358 159920 185056 207896 231320 259870 300716 319840 370112 375895 415792 462640 519740 601432 639680 751790 831584 925280 1039480 1202864 1503580 1663168 1850560 2078960 2405728 3007160 4157920 4811456 6014320 8315840 11560217 12028640 23120434 24057280 46240868 57801085 92481736 115602170 150282821 184963472 231204340 300565642 369926944 462408680 601131284 739853888 751414105 924817360 1202262568 1502828210 1849634720 2404525136 3005656420 3699269440 4809050272 6011312840 9618100544 12022625680 24045251360 48090502720