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3929033124 = 22323123372
BaseRepresentation
bin1110101000110000…
…0100100110100100
3101010211011120012100
43222030010212210
531021313024444
61445512452100
7166236142032
oct35214044644
911124146170
103929033124
111736922815
129179aa030
134a8004a93
14293b5d552
1517ee07e69
hexea3049a4

3929033124 has 81 divisors (see below), whose sum is σ = 10292978241. Its totient is φ = 1263669120.

The previous prime is 3929033111. The next prime is 3929033131. The reversal of 3929033124 is 4213309293.

The square root of 3929033124 is 62682.

It is a perfect power (a square), and thus also a powerful number.

3929033124 is a `hidden beast` number, since 39 + 290 + 331 + 2 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1059502500 + 2869530624 = 32550^2 + 53568^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 11658684 + ... + 11659020.

Almost surely, 23929033124 is an apocalyptic number.

3929033124 is the 62682-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3929033124

3929033124 is an abundant number, since it is smaller than the sum of its proper divisors (6363945117).

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

3929033124 is a wasteful number, since it uses less digits than its factorization.

3929033124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 746 (or 373 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 36.

The cubic root of 3929033124 is about 1577.9572388380.

Multiplying 3929033124 by its sum of digits (36), we get a square (141445192464 = 3760922).

3929033124 divided by its sum of digits (36) gives a square (109139809 = 104472).

The spelling of 3929033124 in words is "three billion, nine hundred twenty-nine million, thirty-three thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 31 36 62 93 124 186 279 337 372 558 674 961 1011 1116 1348 1922 2022 2883 3033 3844 4044 5766 6066 8649 10447 11532 12132 17298 20894 31341 34596 41788 62682 94023 113569 125364 188046 227138 323857 340707 376092 454276 647714 681414 971571 1022121 1295428 1362828 1943142 2044242 2914713 3520639 3886284 4088484 5829426 7041278 10561917 11658852 14082556 21123834 31685751 42247668 63371502 109139809 126743004 218279618 327419427 436559236 654838854 982258281 1309677708 1964516562 3929033124