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155050064 = 24132173373
BaseRepresentation
bin10010011110111…
…10000001010000
3101210202100200222
421033132001100
5304143100224
623215132212
73561622001
oct1117360120
9353670628
10155050064
117a581454
1243b14068
1326179700
14168411a8
15d92ab5e
hex93de050

155050064 has 60 divisors (see below), whose sum is σ = 344532636. Its totient is φ = 67332096.

The previous prime is 155050057. The next prime is 155050067. The reversal of 155050064 is 460050551.

It can be written as a sum of positive squares in 6 ways, for example, as 1488400 + 153561664 = 1220^2 + 12392^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (155050067) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 44282 + ... + 47654.

Almost surely, 2155050064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 155050064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172266318).

155050064 is an abundant number, since it is smaller than the sum of its proper divisors (189482572).

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

155050064 is a wasteful number, since it uses less digits than its factorization.

155050064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3424 (or 3405 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 26.

The square root of 155050064 is about 12451.9100542848. The cubic root of 155050064 is about 537.2263632594.

The spelling of 155050064 in words is "one hundred fifty-five million, fifty thousand, sixty-four".

Divisors: 1 2 4 8 13 16 17 26 34 52 68 104 136 169 208 221 272 338 442 676 884 1352 1768 2704 2873 3373 3536 5746 6746 11492 13492 22984 26984 43849 45968 53968 57341 87698 114682 175396 229364 350792 458728 570037 701584 745433 917456 1140074 1490866 2280148 2981732 4560296 5963464 9120592 9690629 11926928 19381258 38762516 77525032 155050064