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1402477664 = 25789103683
BaseRepresentation
bin101001110011000…
…0001110001100000
310121202000020200012
41103212001301200
510333013241124
6351055544052
746516602110
oct12346016140
93552006605
101402477664
1165a731255
1233182b028
13194738453
14d4399040
15831d3e0e
hex53981c60

1402477664 has 96 divisors (see below), whose sum is σ = 3226728960. Its totient is φ = 587676672.

The previous prime is 1402477639. The next prime is 1402477669. The reversal of 1402477664 is 4667742041.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1402477669) 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, 2053067 + ... + 2053749.

It is an arithmetic number, because the mean of its divisors is an integer number (33611760).

Almost surely, 21402477664 is an apocalyptic number.

1402477664 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1402477664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1613364480).

1402477664 is an abundant number, since it is smaller than the sum of its proper divisors (1824251296).

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

1402477664 is a wasteful number, since it uses less digits than its factorization.

1402477664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 892 (or 884 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 41.

The square root of 1402477664 is about 37449.6684097470. The cubic root of 1402477664 is about 1119.3484901344.

The spelling of 1402477664 in words is "one billion, four hundred two million, four hundred seventy-seven thousand, six hundred sixty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 89 103 112 178 206 224 356 412 623 683 712 721 824 1246 1366 1424 1442 1648 2492 2732 2848 2884 3296 4781 4984 5464 5768 9167 9562 9968 10928 11536 18334 19124 19936 21856 23072 36668 38248 60787 64169 70349 73336 76496 121574 128338 140698 146672 152992 243148 256676 281396 293344 425509 486296 492443 513352 562792 851018 972592 984886 1026704 1125584 1702036 1945184 1969772 2053408 2251168 3404072 3939544 6261061 6808144 7879088 12522122 13616288 15758176 25044244 43827427 50088488 87654854 100176976 175309708 200353952 350619416 701238832 1402477664