Search a number
-
+
625189040 = 24572433709
BaseRepresentation
bin100101010000111…
…010000010110000
31121120101220010122
4211100322002300
52240022022130
6142011545412
721331006400
oct4520720260
91546356118
10625189040
112a09a2863
1215545b268
139c6a7b58
145d062800
1539d462e5
hex2543a0b0

625189040 has 120 divisors (see below), whose sum is σ = 1730670480. Its totient is φ = 209309184.

The previous prime is 625189021. The next prime is 625189051. The reversal of 625189040 is 40981526.

It is a super-2 number, since 2×6251890402 = 781722671472243200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (35).

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 23 ways as a sum of consecutive naturals, for example, 166706 + ... + 170414.

It is an arithmetic number, because the mean of its divisors is an integer number (14422254).

Almost surely, 2625189040 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 625189040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (865335240).

625189040 is an abundant number, since it is smaller than the sum of its proper divisors (1105481440).

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

625189040 is a wasteful number, since it uses less digits than its factorization.

625189040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3779 (or 3766 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 35.

The square root of 625189040 is about 25003.7805141543. The cubic root of 625189040 is about 855.0741656764.

The spelling of 625189040 in words is "six hundred twenty-five million, one hundred eighty-nine thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 43 49 56 70 80 86 98 112 140 172 196 215 245 280 301 344 392 430 490 560 602 688 784 860 980 1204 1505 1720 1960 2107 2408 3010 3440 3709 3920 4214 4816 6020 7418 8428 10535 12040 14836 16856 18545 21070 24080 25963 29672 33712 37090 42140 51926 59344 74180 84280 103852 129815 148360 159487 168560 181741 207704 259630 296720 318974 363482 415408 519260 637948 726964 797435 908705 1038520 1116409 1275896 1453928 1594870 1817410 2077040 2232818 2551792 2907856 3189740 3634820 4465636 5582045 6379480 7269640 7814863 8931272 11164090 12758960 14539280 15629726 17862544 22328180 31259452 39074315 44656360 62518904 78148630 89312720 125037808 156297260 312594520 625189040