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690573408 = 25371795741
BaseRepresentation
bin101001001010010…
…101000001100000
31210010102202121220
4221022111001200
52403241322113
6152305215040
723053530360
oct5112250140
91703382556
10690573408
113248a1028
12173331480
13b00bb825
1467a029a0
154095e523
hex29295060

690573408 has 96 divisors (see below), whose sum is σ = 2083656960. Its totient is φ = 196170240.

The previous prime is 690573407. The next prime is 690573409. The reversal of 690573408 is 804375096.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (690573407) and next prime (690573409).

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 (42).

It is a self number, because there is not a number n which added to its sum of digits gives 690573408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (690573407) 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, 117418 + ... + 123158.

It is an arithmetic number, because the mean of its divisors is an integer number (21704760).

Almost surely, 2690573408 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 690573408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1041828480).

690573408 is an abundant number, since it is smaller than the sum of its proper divisors (1393083552).

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

690573408 is a wasteful number, since it uses less digits than its factorization.

690573408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5940 (or 5932 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 42.

The square root of 690573408 is about 26278.7634412276. The cubic root of 690573408 is about 883.9003047484.

The spelling of 690573408 in words is "six hundred ninety million, five hundred seventy-three thousand, four hundred eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 179 224 336 358 537 672 716 1074 1253 1432 2148 2506 2864 3759 4296 5012 5728 5741 7518 8592 10024 11482 15036 17184 17223 20048 22964 30072 34446 40096 40187 45928 60144 68892 80374 91856 120288 120561 137784 160748 183712 241122 275568 321496 482244 551136 642992 964488 1027639 1285984 1928976 2055278 3082917 3857952 4110556 6165834 7193473 8221112 12331668 14386946 16442224 21580419 24663336 28773892 32884448 43160838 49326672 57547784 86321676 98653344 115095568 172643352 230191136 345286704 690573408