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1046954172 = 223112929431
BaseRepresentation
bin111110011001110…
…100000010111100
32200222000210010110
4332121310002330
54121010013142
6251515510020
734641651345
oct7631640274
92628023113
101046954172
11497a84190
12252758310
13138b9a114
149d0910cc
1561da899c
hex3e6740bc

1046954172 has 72 divisors (see below), whose sum is σ = 2760331392. Its totient is φ = 306286400.

The previous prime is 1046954149. The next prime is 1046954219. The reversal of 1046954172 is 2714596401.

It is a super-2 number, since 2×10469541722 = 2192226076536411168, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1046954172.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 106297 + ... + 115727.

It is an arithmetic number, because the mean of its divisors is an integer number (38337936).

Almost surely, 21046954172 is an apocalyptic number.

1046954172 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 1046954172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1380165696).

1046954172 is an abundant number, since it is smaller than the sum of its proper divisors (1713377220).

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

1046954172 is a wasteful number, since it uses less digits than its factorization.

1046954172 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9507 (or 9476 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 39.

The square root of 1046954172 is about 32356.6712132135. The cubic root of 1046954172 is about 1015.4126213526.

The spelling of 1046954172 in words is "one billion, forty-six million, nine hundred fifty-four thousand, one hundred seventy-two".

Divisors: 1 2 3 4 6 11 12 22 29 33 44 58 66 87 116 132 174 319 348 638 841 957 1276 1682 1914 2523 3364 3828 5046 9251 9431 10092 18502 18862 27753 28293 37004 37724 55506 56586 103741 111012 113172 207482 273499 311223 414964 546998 622446 820497 1093996 1244892 1640994 3008489 3281988 6016978 7931471 9025467 12033956 15862942 18050934 23794413 31725884 36101868 47588826 87246181 95177652 174492362 261738543 348984724 523477086 1046954172