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961421832 = 233371514211
BaseRepresentation
bin111001010011100…
…010001000001000
32111000002021211000
4321103202020020
53432110444312
6235222335000
732552644050
oct7123421010
92430067730
10961421832
114537744a8
12229b8a460
13124250877
1491988560
1559610adc
hex394e2208

961421832 has 128 divisors (see below), whose sum is σ = 3073075200. Its totient is φ = 272808000.

The previous prime is 961421809. The next prime is 961421843. The reversal of 961421832 is 238124169.

961421832 is a `hidden beast` number, since 9 + 614 + 2 + 1 + 8 + 32 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 226207 + ... + 230417.

It is an arithmetic number, because the mean of its divisors is an integer number (24008400).

Almost surely, 2961421832 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 961421832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1536537600).

961421832 is an abundant number, since it is smaller than the sum of its proper divisors (2111653368).

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

961421832 is a wasteful number, since it uses less digits than its factorization.

961421832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4384 (or 4374 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 961421832 is about 31006.8029954718. The cubic root of 961421832 is about 986.9716088322.

The spelling of 961421832 in words is "nine hundred sixty-one million, four hundred twenty-one thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 84 108 126 151 168 189 216 252 302 378 453 504 604 756 906 1057 1208 1359 1512 1812 2114 2718 3171 3624 4077 4211 4228 5436 6342 8154 8422 8456 9513 10872 12633 12684 16308 16844 19026 25266 25368 28539 29477 32616 33688 37899 38052 50532 57078 58954 75798 76104 88431 101064 113697 114156 117908 151596 176862 227394 228312 235816 265293 303192 353724 454788 530586 635861 707448 795879 909576 1061172 1271722 1591758 1907583 2122344 2543444 3183516 3815166 4451027 5086888 5722749 6367032 7630332 8902054 11445498 13353081 15260664 17168247 17804108 22890996 26706162 34336494 35608216 40059243 45781992 53412324 68672988 80118486 106824648 120177729 137345976 160236972 240355458 320473944 480710916 961421832