Search a number
-
+
672640608 = 253101173401
BaseRepresentation
bin101000000101111…
…010111001100000
31201212200200110010
4220011322321200
52334143444413
6150425004520
722445231223
oct5005727140
91655620403
10672640608
11315762932
12169323740
13a94802c3
14654955ba
153e0badc3
hex2817ae60

672640608 has 96 divisors (see below), whose sum is σ = 1797943392. Its totient is φ = 220160000.

The previous prime is 672640597. The next prime is 672640621. The reversal of 672640608 is 806046276.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1677208 + ... + 1677608.

It is an arithmetic number, because the mean of its divisors is an integer number (18728577).

Almost surely, 2672640608 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 672640608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (898971696).

672640608 is an abundant number, since it is smaller than the sum of its proper divisors (1125302784).

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

672640608 is a wasteful number, since it uses less digits than its factorization.

672640608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 688 (or 680 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 39.

The square root of 672640608 is about 25935.3158453873. The cubic root of 672640608 is about 876.1820684508.

The spelling of 672640608 in words is "six hundred seventy-two million, six hundred forty thousand, six hundred eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 101 173 202 303 346 401 404 519 606 692 802 808 1038 1203 1212 1384 1604 1616 2076 2406 2424 2768 3208 3232 4152 4812 4848 5536 6416 8304 9624 9696 12832 16608 17473 19248 34946 38496 40501 52419 69373 69892 81002 104838 121503 138746 139784 162004 208119 209676 243006 277492 279568 324008 416238 419352 486012 554984 559136 648016 832476 838704 972024 1109968 1296032 1664952 1677408 1944048 2219936 3329904 3888096 6659808 7006673 14013346 21020019 28026692 42040038 56053384 84080076 112106768 168160152 224213536 336320304 672640608