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1042351552 = 261119149523
BaseRepresentation
bin111110001000010…
…000010111000000
32200122100221112001
4332020100113000
54113320222202
6251233113344
734554561544
oct7610202700
92618327461
101042351552
11495420170
122510b8854
13137c48188
149c613a24
1561799d87
hex3e2105c0

1042351552 has 112 divisors (see below), whose sum is σ = 2395728000. Its totient is φ = 444994560.

The previous prime is 1042351529. The next prime is 1042351567. The reversal of 1042351552 is 2551532401.

It is a self number, because there is not a number n which added to its sum of digits gives 1042351552.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 1992763 + ... + 1993285.

Almost surely, 21042351552 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 1042351552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1197864000).

1042351552 is an abundant number, since it is smaller than the sum of its proper divisors (1353376448).

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

1042351552 is a wasteful number, since it uses less digits than its factorization.

1042351552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 714 (or 704 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 28.

The square root of 1042351552 is about 32285.4696729039. The cubic root of 1042351552 is about 1013.9224498396.

Adding to 1042351552 its reverse (2551532401), we get a palindrome (3593883953).

The spelling of 1042351552 in words is "one billion, forty-two million, three hundred fifty-one thousand, five hundred fifty-two".

Divisors: 1 2 4 8 11 16 19 22 32 38 44 64 76 88 149 152 176 209 298 304 352 418 523 596 608 704 836 1046 1192 1216 1639 1672 2092 2384 2831 3278 3344 4184 4768 5662 5753 6556 6688 8368 9536 9937 11324 11506 13112 13376 16736 19874 22648 23012 26224 31141 33472 39748 45296 46024 52448 62282 77927 79496 90592 92048 104896 109307 124564 155854 158992 181184 184096 218614 249128 311708 317984 368192 437228 498256 623416 635968 857197 874456 996512 1246832 1480613 1714394 1748912 1993024 2493664 2961226 3428788 3497824 4987328 5922452 6857576 6995648 11844904 13715152 16286743 23689808 27430304 32573486 47379616 54860608 65146972 94759232 130293944 260587888 521175776 1042351552