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52436640 = 2535293767
BaseRepresentation
bin1100100000000…
…1111010100000
310122200001112210
43020001322200
5101410433030
65111522120
71204463334
oct310017240
9118601483
1052436640
1127665473
1215689340
13ab2c4c9
146d6d7c4
15490bbb0
hex3201ea0

52436640 has 96 divisors (see below), whose sum is σ = 170916480. Its totient is φ = 13497344.

The previous prime is 52436627. The next prime is 52436641. The reversal of 52436640 is 4663425.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 52436598 and 52436607.

It is not an unprimeable number, because it can be changed into a prime (52436641) 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, 12037 + ... + 15803.

It is an arithmetic number, because the mean of its divisors is an integer number (1780380).

Almost surely, 252436640 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 52436640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85458240).

52436640 is an abundant number, since it is smaller than the sum of its proper divisors (118479840).

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

52436640 is a wasteful number, since it uses less digits than its factorization.

52436640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3814 (or 3806 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

The square root of 52436640 is about 7241.3147977422. The cubic root of 52436640 is about 374.2929254038.

The spelling of 52436640 in words is "fifty-two million, four hundred thirty-six thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 29 30 32 40 48 58 60 80 87 96 116 120 145 160 174 232 240 290 348 435 464 480 580 696 870 928 1160 1392 1740 2320 2784 3480 3767 4640 6960 7534 11301 13920 15068 18835 22602 30136 37670 45204 56505 60272 75340 90408 109243 113010 120544 150680 180816 218486 226020 301360 327729 361632 436972 452040 546215 602720 655458 873944 904080 1092430 1310916 1638645 1747888 1808160 2184860 2621832 3277290 3495776 4369720 5243664 6554580 8739440 10487328 13109160 17478880 26218320 52436640