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155901942 = 23373771157
BaseRepresentation
bin10010100101011…
…01111111110110
3101212100122021000
421102231333312
5304402330232
623245304130
73602100420
oct1122557766
9355318230
10155901942
1180003489
1244265046
13263b7391
14169c3810
15da4827c
hex94adff6

155901942 has 128 divisors (see below), whose sum is σ = 414996480. Its totient is φ = 42456960.

The previous prime is 155901881. The next prime is 155901943. The reversal of 155901942 is 249109551.

155901942 is a `hidden beast` number, since 15 + 590 + 19 + 42 = 666.

It is a zygodrome in base 8.

It is a junction number, because it is equal to n+sod(n) for n = 155901897 and 155901906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (155901943) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 992928 + ... + 993084.

It is an arithmetic number, because the mean of its divisors is an integer number (3242160).

Almost surely, 2155901942 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 155901942, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207498240).

155901942 is an abundant number, since it is smaller than the sum of its proper divisors (259094538).

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

155901942 is a wasteful number, since it uses less digits than its factorization.

155901942 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 283 (or 277 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 36.

The square root of 155901942 is about 12486.0699181127. The cubic root of 155901942 is about 538.2084454603.

The spelling of 155901942 in words is "one hundred fifty-five million, nine hundred one thousand, nine hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 37 42 54 63 71 74 111 126 142 157 189 213 222 259 314 333 378 426 471 497 518 639 666 777 942 994 999 1099 1278 1413 1491 1554 1917 1998 2198 2331 2627 2826 2982 3297 3834 4239 4473 4662 5254 5809 6594 6993 7881 8478 8946 9891 11147 11618 13419 13986 15762 17427 18389 19782 22294 23643 26838 29673 33441 34854 36778 40663 47286 52281 55167 59346 66882 70929 78029 81326 100323 104562 110334 121989 141858 156058 156843 165501 200646 234087 243978 300969 313686 331002 365967 412439 468174 496503 601938 702261 731934 824878 993006 1097901 1237317 1404522 2106783 2195802 2474634 2887073 3711951 4213566 5774146 7423902 8661219 11135853 17322438 22271706 25983657 51967314 77950971 155901942