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4076045532 = 22321371241509
BaseRepresentation
bin1111001011110011…
…1000010011011100
3101112001210120022100
43302330320103130
531321431424112
61512243445100
7203002546446
oct36274702334
911461716270
104076045532
111801904379
12959086790
134cc5c8b80
142a94ab496
1518cc972dc
hexf2f384dc

4076045532 has 144 divisors (see below), whose sum is σ = 11321069760. Its totient is φ = 1228953600.

The previous prime is 4076045483. The next prime is 4076045539. The reversal of 4076045532 is 2355406704.

4076045532 is a `hidden beast` number, since 40 + 7 + 60 + 4 + 553 + 2 = 666.

It is a super-2 number, since 2×40760455322 = 33228294357874326048, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4076045539) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8007694 + ... + 8008202.

It is an arithmetic number, because the mean of its divisors is an integer number (78618540).

Almost surely, 24076045532 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 4076045532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5660534880).

4076045532 is an abundant number, since it is smaller than the sum of its proper divisors (7245024228).

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

4076045532 is a wasteful number, since it uses less digits than its factorization.

4076045532 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 844 (or 839 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 36.

The square root of 4076045532 is about 63843.9153874510. The cubic root of 4076045532 is about 1597.3975312470.

The spelling of 4076045532 in words is "four billion, seventy-six million, forty-five thousand, five hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 71 78 117 142 156 213 234 241 284 426 468 482 509 639 723 852 923 964 1018 1278 1446 1527 1846 2036 2169 2556 2769 2892 3054 3133 3692 4338 4581 5538 6108 6266 6617 8307 8676 9162 9399 11076 12532 13234 16614 17111 18324 18798 19851 26468 28197 33228 34222 36139 37596 39702 51333 56394 59553 68444 72278 79404 102666 108417 112788 119106 122669 144556 153999 205332 216834 222443 238212 245338 307998 325251 368007 433668 444886 469807 490676 615996 650502 667329 736014 889772 939614 1104021 1301004 1334658 1409421 1472028 1594697 1879228 2001987 2208042 2669316 2818842 3189394 4003974 4228263 4416084 4784091 5637684 6378788 8007948 8456526 8709499 9568182 14352273 16913052 17418998 19136364 26128497 28704546 34837996 52256994 57409092 78385491 104513988 113223487 156770982 226446974 313541964 339670461 452893948 679340922 1019011383 1358681844 2038022766 4076045532