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4076933652 = 22321137674153
BaseRepresentation
bin1111001100000001…
…0001001000010100
3101112010110200120200
43303000101020110
531322143334102
61512314500500
7203013235641
oct36300211024
911463420520
104076933652
111802360660
12959434730
134cc84a19c
142a965cdc8
1518cdc051c
hexf3011214

4076933652 has 144 divisors (see below), whose sum is σ = 11721458112. Its totient is φ = 1183818240.

The previous prime is 4076933639. The next prime is 4076933753. The reversal of 4076933652 is 2563396704.

It is a junction number, because it is equal to n+sod(n) for n = 4076933598 and 4076933607.

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 47 ways as a sum of consecutive naturals, for example, 979608 + ... + 983760.

Almost surely, 24076933652 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 4076933652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5860729056).

4076933652 is an abundant number, since it is smaller than the sum of its proper divisors (7644524460).

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

4076933652 is a wasteful number, since it uses less digits than its factorization.

4076933652 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4278 (or 4273 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 45.

The square root of 4076933652 is about 63850.8704091025. The cubic root of 4076933652 is about 1597.5135405554.

The spelling of 4076933652 in words is "four billion, seventy-six million, nine hundred thirty-three thousand, six hundred fifty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 37 44 66 67 74 99 111 132 134 148 198 201 222 268 333 396 402 407 444 603 666 737 804 814 1206 1221 1332 1474 1628 2211 2412 2442 2479 2948 3663 4153 4422 4884 4958 6633 7326 7437 8306 8844 9916 12459 13266 14652 14874 16612 22311 24918 26532 27269 29748 37377 44622 45683 49836 54538 74754 81807 89244 91366 109076 137049 149508 153661 163614 182732 245421 274098 278251 307322 327228 411147 460983 490842 548196 556502 614644 822294 834753 921966 981684 1113004 1382949 1644588 1669506 1690271 1843932 2504259 2765898 3060761 3339012 3380542 5008518 5070813 5531796 6121522 6761084 9182283 10017036 10141626 10295287 12243044 15212439 18364566 20283252 20590574 27546849 30424878 30885861 36729132 41181148 55093698 60849756 61771722 92657583 110187396 113248157 123543444 185315166 226496314 339744471 370630332 452992628 679488942 1019233413 1358977884 2038466826 4076933652