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40742568 = 23332359139
BaseRepresentation
bin1001101101101…
…0111010101000
32211122221022000
42123122322220
540412230233
64013131000
71003206666
oct233327250
984587260
1040742568
1120aa8549
1211789a60
138596839
1455a7c36
15389bd13
hex26daea8

40742568 has 128 divisors (see below), whose sum is σ = 120960000. Its totient is φ = 12678336.

The previous prime is 40742549. The next prime is 40742573. The reversal of 40742568 is 86524704.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 293043 + ... + 293181.

It is an arithmetic number, because the mean of its divisors is an integer number (945000).

Almost surely, 240742568 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40742568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60480000).

40742568 is an abundant number, since it is smaller than the sum of its proper divisors (80217432).

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

40742568 is a wasteful number, since it uses less digits than its factorization.

40742568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 236 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 40742568 is about 6382.9905216912. The cubic root of 40742568 is about 344.0985160421.

The spelling of 40742568 in words is "forty million, seven hundred forty-two thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 27 36 46 54 59 69 72 92 108 118 138 139 177 184 207 216 236 276 278 354 414 417 472 531 552 556 621 708 828 834 1062 1112 1242 1251 1357 1416 1593 1656 1668 2124 2484 2502 2714 3186 3197 3336 3753 4071 4248 4968 5004 5428 6372 6394 7506 8142 8201 9591 10008 10856 12213 12744 12788 15012 16284 16402 19182 24426 24603 25576 28773 30024 32568 32804 36639 38364 48852 49206 57546 65608 73278 73809 76728 86319 97704 98412 115092 146556 147618 172638 188623 196824 221427 230184 293112 295236 345276 377246 442854 565869 590472 690552 754492 885708 1131738 1508984 1697607 1771416 2263476 3395214 4526952 5092821 6790428 10185642 13580856 20371284 40742568