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640696416 = 25319351259
BaseRepresentation
bin100110001100000…
…100000001100000
31122122120202020220
4212030010001200
52303004241131
6143324203040
721606554403
oct4614040140
91578522226
10640696416
112a9724778
1215a699480
13a2977409
146113bd3a
153b3aae96
hex26304060

640696416 has 48 divisors (see below), whose sum is σ = 1770350400. Its totient is φ = 202324608.

The previous prime is 640696409. The next prime is 640696421. The reversal of 640696416 is 614696046.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 173806 + ... + 177453.

It is an arithmetic number, because the mean of its divisors is an integer number (36882300).

Almost surely, 2640696416 is an apocalyptic number.

It is an amenable number.

640696416 is an abundant number, since it is smaller than the sum of its proper divisors (1129653984).

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

640696416 is a wasteful number, since it uses less digits than its factorization.

640696416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 351291 (or 351283 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 42.

The square root of 640696416 is about 25311.9816687671. The cubic root of 640696416 is about 862.0863424511.

The spelling of 640696416 in words is "six hundred forty million, six hundred ninety-six thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 76 96 114 152 228 304 456 608 912 1824 351259 702518 1053777 1405036 2107554 2810072 4215108 5620144 6673921 8430216 11240288 13347842 16860432 20021763 26695684 33720864 40043526 53391368 80087052 106782736 160174104 213565472 320348208 640696416