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3992407536 = 2431328122769
BaseRepresentation
bin1110110111110111…
…0100110111110000
3101022020102022112210
43231331310313300
531134024020121
61500055052120
7200635622055
oct35575646760
911266368483
103992407536
111769678967
12935071040
134b8193930
1429c33902c
15185775876
hexedf74df0

3992407536 has 80 divisors (see below), whose sum is σ = 11147099040. Its totient is φ = 1224007680.

The previous prime is 3992407519. The next prime is 3992407537. The reversal of 3992407536 is 6357042993.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3992407537) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 163960 + ... + 186728.

It is an arithmetic number, because the mean of its divisors is an integer number (139338738).

Almost surely, 23992407536 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 3992407536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5573549520).

3992407536 is an abundant number, since it is smaller than the sum of its proper divisors (7154691504).

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

3992407536 is a wasteful number, since it uses less digits than its factorization.

3992407536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23074 (or 23068 counting only the distinct ones).

The product of its (nonzero) digits is 1224720, while the sum is 48.

The square root of 3992407536 is about 63185.5009950859. The cubic root of 3992407536 is about 1586.3960587234.

The spelling of 3992407536 in words is "three billion, nine hundred ninety-two million, four hundred seven thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 208 281 312 562 624 843 1124 1686 2248 3372 3653 4496 6744 7306 10959 13488 14612 21918 22769 29224 43836 45538 58448 68307 87672 91076 136614 175344 182152 273228 295997 364304 546456 591994 887991 1092912 1183988 1775982 2367976 3551964 4735952 6398089 7103928 12796178 14207856 19194267 25592356 38388534 51184712 76777068 83175157 102369424 153554136 166350314 249525471 307108272 332700628 499050942 665401256 998101884 1330802512 1996203768 3992407536