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157793454 = 233713163197
BaseRepresentation
bin10010110011110…
…11110010101110
3101222220201221000
421121323302232
5310343342304
623354021130
73624136140
oct1131736256
9358821830
10157793454
1181085615
1244a177a6
13268ca310
1416d56c90
15dcbd939
hex967bcae

157793454 has 128 divisors (see below), whose sum is σ = 436423680. Its totient is φ = 41150592.

The previous prime is 157793413. The next prime is 157793459. The reversal of 157793454 is 454397751.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (157793459) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 800884 + ... + 801080.

It is an arithmetic number, because the mean of its divisors is an integer number (3409560).

Almost surely, 2157793454 is an apocalyptic number.

157793454 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 157793454, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218211840).

157793454 is an abundant number, since it is smaller than the sum of its proper divisors (278630226).

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

157793454 is a wasteful number, since it uses less digits than its factorization.

157793454 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 391 (or 385 counting only the distinct ones).

The product of its digits is 529200, while the sum is 45.

The square root of 157793454 is about 12561.5864443947. The cubic root of 157793454 is about 540.3763425926.

The spelling of 157793454 in words is "one hundred fifty-seven million, seven hundred ninety-three thousand, four hundred fifty-four".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 27 39 42 54 63 78 91 117 126 163 182 189 197 234 273 326 351 378 394 489 546 591 702 819 978 1141 1182 1379 1467 1638 1773 2119 2282 2457 2561 2758 2934 3423 3546 4137 4238 4401 4914 5122 5319 6357 6846 7683 8274 8802 10269 10638 12411 12714 14833 15366 17927 19071 20538 23049 24822 29666 30807 32111 35854 37233 38142 44499 46098 53781 57213 61614 64222 69147 74466 88998 96333 107562 114426 133497 138294 161343 192666 224777 266994 288999 322686 400491 417443 449554 484029 577998 674331 800982 834886 866997 968058 1252329 1348662 1733994 2022993 2504658 2922101 3756987 4045986 5844202 6068979 7513974 8766303 11270961 12137958 17532606 22541922 26298909 52597818 78896727 157793454