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1042550352 = 24346611217
BaseRepresentation
bin111110001001000…
…000111001010000
32200122202001020000
4332021000321100
54113343102402
6251241250000
734556350254
oct7611007120
92618661200
101042550352
11495546568
12251193900
13137cb77cc
149c666264
15617d8c1c
hex3e240e50

1042550352 has 100 divisors (see below), whose sum is σ = 3024491316. Its totient is φ = 346705920.

The previous prime is 1042550323. The next prime is 1042550393. The reversal of 1042550352 is 2530552401.

It is a happy number.

1042550352 is a `hidden beast` number, since 104 + 2 + 5 + 503 + 52 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 597509136 + 445041216 = 24444^2 + 21096^2 .

It is a super-2 number, since 2×10425503522 = 2173822472910647808, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 856048 + ... + 857264.

Almost surely, 21042550352 is an apocalyptic number.

1042550352 is a gapful number since it is divisible by the number (12) 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 1042550352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1512245658).

1042550352 is an abundant number, since it is smaller than the sum of its proper divisors (1981940964).

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

1042550352 is a wasteful number, since it uses less digits than its factorization.

1042550352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1898 (or 1883 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 27.

The square root of 1042550352 is about 32288.5483105079. The cubic root of 1042550352 is about 1013.9869050513.

The spelling of 1042550352 in words is "one billion, forty-two million, five hundred fifty thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 324 432 648 661 1217 1296 1322 1983 2434 2644 3651 3966 4868 5288 5949 7302 7932 9736 10576 10953 11898 14604 15864 17847 19472 21906 23796 29208 31728 32859 35694 43812 47592 53541 58416 65718 71388 87624 95184 98577 107082 131436 142776 175248 197154 214164 262872 285552 394308 428328 525744 788616 804437 856656 1577232 1608874 2413311 3217748 4826622 6435496 7239933 9653244 12870992 14479866 19306488 21719799 28959732 38612976 43439598 57919464 65159397 86879196 115838928 130318794 173758392 260637588 347516784 521275176 1042550352