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988230432 = 253721911057
BaseRepresentation
bin111010111001110…
…011001100100000
32112212112022022010
4322321303030200
54010441333212
6242021112520
733326551200
oct7271631440
92485468263
10988230432
11467915172
12236b58740
13129979047
1495366400
155bb5903c
hex3ae73320

988230432 has 144 divisors (see below), whose sum is σ = 3176742240. Its totient is φ = 267466752.

The previous prime is 988230427. The next prime is 988230437. The reversal of 988230432 is 234032889.

988230432 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (988230427) and next prime (988230437).

It is not an unprimeable number, because it can be changed into a prime (988230437) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 83848 + ... + 94904.

It is an arithmetic number, because the mean of its divisors is an integer number (22060710).

Almost surely, 2988230432 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 988230432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1588371120).

988230432 is an abundant number, since it is smaller than the sum of its proper divisors (2188511808).

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

988230432 is a wasteful number, since it uses less digits than its factorization.

988230432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11103 (or 11088 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 39.

The square root of 988230432 is about 31436.1325865635. The cubic root of 988230432 is about 996.0613178165.

The spelling of 988230432 in words is "nine hundred eighty-eight million, two hundred thirty thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 19 21 24 28 32 38 42 48 49 56 57 76 84 96 98 112 114 133 147 152 168 196 224 228 266 294 304 336 392 399 456 532 588 608 672 784 798 912 931 1064 1176 1568 1596 1824 1862 2128 2352 2793 3192 3724 4256 4704 5586 6384 7448 11057 11172 12768 14896 22114 22344 29792 33171 44228 44688 66342 77399 88456 89376 132684 154798 176912 210083 232197 265368 309596 353824 420166 464394 530736 541793 619192 630249 840332 928788 1061472 1083586 1238384 1260498 1470581 1625379 1680664 1857576 2167172 2476768 2520996 2941162 3250758 3361328 3715152 4334344 4411743 5041992 5882324 6501516 6722656 7430304 8668688 8823486 10083984 10294067 11764648 13003032 17337376 17646972 20167968 20588134 23529296 26006064 30882201 35293944 41176268 47058592 52012128 61764402 70587888 82352536 123528804 141175776 164705072 247057608 329410144 494115216 988230432