Search a number
-
+
4625401040 = 24513191491571
BaseRepresentation
bin1000100111011001…
…00000010011010000
3102221100111201101122
410103230200103100
533433100313130
62042550221412
7222423155141
oct42354402320
912840451348
104625401040
111a63a11297
12a91054868
13589371bc0
1431c42dac8
151c110e2e5
hex113b204d0

4625401040 has 160 divisors (see below), whose sum is σ = 12280464000. Its totient is φ = 1606072320.

The previous prime is 4625401037. The next prime is 4625401049. The reversal of 4625401040 is 401045264.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4625401049) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2943455 + ... + 2945025.

It is an arithmetic number, because the mean of its divisors is an integer number (76752900).

Almost surely, 24625401040 is an apocalyptic number.

4625401040 is a gapful number since it is divisible by the number (40) 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 4625401040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6140232000).

4625401040 is an abundant number, since it is smaller than the sum of its proper divisors (7655062960).

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

4625401040 is a wasteful number, since it uses less digits than its factorization.

4625401040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1765 (or 1759 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 26.

The square root of 4625401040 is about 68010.3009844832. The cubic root of 4625401040 is about 1666.1590813411.

The spelling of 4625401040 in words is "four billion, six hundred twenty-five million, four hundred one thousand, forty".

Divisors: 1 2 4 5 8 10 13 16 19 20 26 38 40 52 65 76 80 95 104 130 149 152 190 208 247 260 298 304 380 494 520 596 745 760 988 1040 1192 1235 1490 1520 1571 1937 1976 2384 2470 2831 2980 3142 3874 3952 4940 5662 5960 6284 7748 7855 9685 9880 11324 11920 12568 14155 15496 15710 19370 19760 20423 22648 25136 28310 29849 30992 31420 36803 38740 40846 45296 56620 59698 62840 73606 77480 81692 102115 113240 119396 125680 147212 149245 154960 163384 184015 204230 226480 234079 238792 294424 298490 326768 368030 388037 408460 468158 477584 588848 596980 736060 776074 816920 936316 1170395 1193960 1472120 1552148 1633840 1872632 1940185 2340790 2387920 2944240 3043027 3104296 3745264 3880370 4447501 4681580 6086054 6208592 7760740 8895002 9363160 12172108 15215135 15521480 17790004 18726320 22237505 24344216 30430270 31042960 35580008 44475010 48688432 57817513 60860540 71160016 88950020 115635026 121721080 177900040 231270052 243442160 289087565 355800080 462540104 578175130 925080208 1156350260 2312700520 4625401040