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157430448 = 24327473323
BaseRepresentation
bin10010110001000…
…11001010110000
3101222020021222100
421120203022300
5310300233243
623342140400
73621064620
oct1130431260
9358207870
10157430448
118095790a
1244881700
1326801016
1416ca0880
15dc4b0d3
hex96232b0

157430448 has 120 divisors (see below), whose sum is σ = 514395648. Its totient is φ = 44009856.

The previous prime is 157430437. The next prime is 157430479. The reversal of 157430448 is 844034751.

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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 45715 + ... + 49037.

Almost surely, 2157430448 is an apocalyptic number.

157430448 is a gapful number since it is divisible by the number (18) 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 157430448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257197824).

157430448 is an abundant number, since it is smaller than the sum of its proper divisors (356965200).

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

157430448 is a wasteful number, since it uses less digits than its factorization.

157430448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3391 (or 3382 counting only the distinct ones).

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

The square root of 157430448 is about 12547.1290740153. The cubic root of 157430448 is about 539.9616433661.

The spelling of 157430448 in words is "one hundred fifty-seven million, four hundred thirty thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 47 48 56 63 72 84 94 112 126 141 144 168 188 252 282 329 336 376 423 504 564 658 752 846 987 1008 1128 1316 1692 1974 2256 2632 2961 3323 3384 3948 5264 5922 6646 6768 7896 9969 11844 13292 15792 19938 23261 23688 26584 29907 39876 46522 47376 53168 59814 69783 79752 93044 119628 139566 156181 159504 186088 209349 239256 279132 312362 372176 418698 468543 478512 558264 624724 837396 937086 1093267 1116528 1249448 1405629 1674792 1874172 2186534 2498896 2811258 3279801 3349584 3748344 4373068 5622516 6559602 7496688 8746136 9839403 11245032 13119204 17492272 19678806 22490064 26238408 39357612 52476816 78715224 157430448