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48940640 = 2557371181
BaseRepresentation
bin1011101010110…
…0011001100000
310102002102221022
42322230121200
5100012100030
64504545012
71132663040
oct272543140
9112072838
1048940640
1125697911
1214482168
13a1a7178
1466dd720
15446ade5
hex2eac660

48940640 has 96 divisors (see below), whose sum is σ = 135825984. Its totient is φ = 16312320.

The previous prime is 48940627. The next prime is 48940663. The reversal of 48940640 is 4604984.

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 48940640.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40850 + ... + 42030.

It is an arithmetic number, because the mean of its divisors is an integer number (1414854).

Almost surely, 248940640 is an apocalyptic number.

48940640 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 48940640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67912992).

48940640 is an abundant number, since it is smaller than the sum of its proper divisors (86885344).

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

48940640 is a wasteful number, since it uses less digits than its factorization.

48940640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1240 (or 1232 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 35.

The square root of 48940640 is about 6995.7587151073. The cubic root of 48940640 is about 365.7827450431.

The spelling of 48940640 in words is "forty-eight million, nine hundred forty thousand, six hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 37 40 56 70 74 80 112 140 148 160 185 224 259 280 296 370 518 560 592 740 1036 1120 1181 1184 1295 1480 2072 2362 2590 2960 4144 4724 5180 5905 5920 8267 8288 9448 10360 11810 16534 18896 20720 23620 33068 37792 41335 41440 43697 47240 66136 82670 87394 94480 132272 165340 174788 188960 218485 264544 305879 330680 349576 436970 611758 661360 699152 873940 1223516 1322720 1398304 1529395 1747880 2447032 3058790 3495760 4894064 6117580 6991520 9788128 12235160 24470320 48940640