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742157442 = 2321319792113
BaseRepresentation
bin101100001111000…
…110110010000010
31220201111111121200
4230033012302002
53004443014232
6201351002030
724251143215
oct5417066202
91821444550
10742157442
11350a23964
12188669316
13ba9acc20
14707cd77c
154524d77c
hex2c3c6c82

742157442 has 96 divisors (see below), whose sum is σ = 1846790400. Its totient is φ = 213497856.

The previous prime is 742157417. The next prime is 742157467. The reversal of 742157442 is 244751247.

742157442 is a `hidden beast` number, since 7 + 42 + 1 + 574 + 42 = 666.

It is an interprime number because it is at equal distance from previous prime (742157417) and next prime (742157467).

It is a junction number, because it is equal to n+sod(n) for n = 742157397 and 742157406.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 350178 + ... + 352290.

It is an arithmetic number, because the mean of its divisors is an integer number (19237400).

Almost surely, 2742157442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 742157442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (923395200).

742157442 is an abundant number, since it is smaller than the sum of its proper divisors (1104632958).

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

742157442 is a wasteful number, since it uses less digits than its factorization.

742157442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2232 (or 2229 counting only the distinct ones).

The product of its digits is 62720, while the sum is 36.

The square root of 742157442 is about 27242.5667292933. The cubic root of 742157442 is about 905.3823326802.

The spelling of 742157442 in words is "seven hundred forty-two million, one hundred fifty-seven thousand, four hundred forty-two".

Divisors: 1 2 3 6 9 13 18 19 26 38 39 57 78 79 114 117 158 171 234 237 247 342 474 494 711 741 1027 1422 1482 1501 2054 2113 2223 3002 3081 4226 4446 4503 6162 6339 9006 9243 12678 13509 18486 19017 19513 27018 27469 38034 39026 40147 54938 58539 80294 82407 117078 120441 164814 166927 175617 240882 247221 333854 351234 361323 494442 500781 521911 722646 1001562 1043822 1502343 1565733 2170051 3004686 3131466 3171613 4340102 4697199 6343226 6510153 9394398 9514839 13020306 19029678 19530459 28544517 39060918 41230969 57089034 82461938 123692907 247385814 371078721 742157442