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42704442 = 23311174229
BaseRepresentation
bin1010001011100…
…1111000111010
32222100121111000
42202321320322
541413020232
64123145430
71025660514
oct242717072
988317430
1042704442
1122118530
1212375276
138b02801
145958bb4
153b3827c
hex28b9e3a

42704442 has 64 divisors (see below), whose sum is σ = 109641600. Its totient is φ = 12176640.

The previous prime is 42704437. The next prime is 42704479. The reversal of 42704442 is 24440724.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 7984 + ... + 12212.

It is an arithmetic number, because the mean of its divisors is an integer number (1713150).

Almost surely, 242704442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42704442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54820800).

42704442 is an abundant number, since it is smaller than the sum of its proper divisors (66937158).

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

42704442 is a wasteful number, since it uses less digits than its factorization.

42704442 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4268 (or 4262 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 27.

The square root of 42704442 is about 6534.8635792953. The cubic root of 42704442 is about 349.5352798293.

The spelling of 42704442 in words is "forty-two million, seven hundred four thousand, four hundred forty-two".

Divisors: 1 2 3 6 9 11 17 18 22 27 33 34 51 54 66 99 102 153 187 198 297 306 374 459 561 594 918 1122 1683 3366 4229 5049 8458 10098 12687 25374 38061 46519 71893 76122 93038 114183 139557 143786 215679 228366 279114 418671 431358 647037 790823 837342 1256013 1294074 1581646 1941111 2372469 2512026 3882222 4744938 7117407 14234814 21352221 42704442