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1553039442 = 23219231791103
BaseRepresentation
bin101110010010001…
…1000000001010010
311000020022120121100
41130210120001102
511140034230232
6414035005230
753325421533
oct13444300122
94006276540
101553039442
11727717579
12374139816
131b99a2c66
1410a38c68a
1591524c7c
hex5c918052

1553039442 has 96 divisors (see below), whose sum is σ = 3720038400. Its totient is φ = 466066656.

The previous prime is 1553039413. The next prime is 1553039497. The reversal of 1553039442 is 2449303551.

1553039442 is a `hidden beast` number, since 155 + 30 + 39 + 442 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1553039397 and 1553039406.

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 47 ways as a sum of consecutive naturals, for example, 1407463 + ... + 1408565.

It is an arithmetic number, because the mean of its divisors is an integer number (38750400).

Almost surely, 21553039442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1553039442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1860019200).

1553039442 is an abundant number, since it is smaller than the sum of its proper divisors (2166998958).

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

1553039442 is a wasteful number, since it uses less digits than its factorization.

1553039442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1332 (or 1329 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The square root of 1553039442 is about 39408.6214171468. The cubic root of 1553039442 is about 1158.0504913240.

The spelling of 1553039442 in words is "one billion, five hundred fifty-three million, thirty-nine thousand, four hundred forty-two".

Divisors: 1 2 3 6 9 18 19 23 38 46 57 69 114 138 171 179 207 342 358 414 437 537 874 1074 1103 1311 1611 2206 2622 3222 3309 3401 3933 4117 6618 6802 7866 8234 9927 10203 12351 19854 20406 20957 24702 25369 30609 37053 41914 50738 61218 62871 74106 76107 78223 125742 152214 156446 188613 197437 228321 234669 377226 394874 456642 469338 482011 592311 704007 964022 1184622 1408014 1446033 1776933 2892066 3553866 3751303 4338099 4541051 7502606 8676198 9082102 11253909 13623153 22507818 27246306 33761727 40869459 67523454 81738918 86279969 172559938 258839907 517679814 776519721 1553039442