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42757530040 = 23537199145177
BaseRepresentation
bin100111110100100011…
…000010000110111000
311002100211211120120201
4213310203002012320
51200031411430130
631350442131544
73042400002661
oct476443020670
9132324746521
1042757530040
1117151569195
1283534b0bb4
13405545c944
1420d88d8368
1511a3b32bca
hex9f48c21b8

42757530040 has 64 divisors (see below), whose sum is σ = 99301752000. Its totient is φ = 16557032448.

The previous prime is 42757530037. The next prime is 42757530047. The reversal of 42757530040 is 4003575724.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42757530047) 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, 221932 + ... + 367108.

It is an arithmetic number, because the mean of its divisors is an integer number (1551589875).

Almost surely, 242757530040 is an apocalyptic number.

42757530040 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 42757530040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49650876000).

42757530040 is an abundant number, since it is smaller than the sum of its proper divisors (56544221960).

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

42757530040 is a wasteful number, since it uses less digits than its factorization.

42757530040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145424 (or 145420 counting only the distinct ones).

The product of its (nonzero) digits is 117600, while the sum is 37.

The spelling of 42757530040 in words is "forty-two billion, seven hundred fifty-seven million, five hundred thirty thousand, forty".

Divisors: 1 2 4 5 8 10 20 37 40 74 148 185 199 296 370 398 740 796 995 1480 1592 1990 3980 7363 7960 14726 29452 36815 58904 73630 145177 147260 290354 294520 580708 725885 1161416 1451770 2903540 5371549 5807080 10743098 21486196 26857745 28890223 42972392 53715490 57780446 107430980 115560892 144451115 214861960 231121784 288902230 577804460 1068938251 1155608920 2137876502 4275753004 5344691255 8551506008 10689382510 21378765020 42757530040