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991428672 = 26313894463
BaseRepresentation
bin111011000110000…
…000000001000000
32120002112210110110
4323012000001000
54012301204142
6242213431320
733366001413
oct7306000100
92502483413
10991428672
114696aa043
1223803b540
1312a5289b0
1495959b7a
155c08b99c
hex3b180040

991428672 has 112 divisors (see below), whose sum is σ = 2857317120. Its totient is φ = 301559808.

The previous prime is 991428671. The next prime is 991428677. The reversal of 991428672 is 276824199.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (991428671) 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, 219913 + ... + 224375.

It is an arithmetic number, because the mean of its divisors is an integer number (25511760).

Almost surely, 2991428672 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 991428672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1428658560).

991428672 is an abundant number, since it is smaller than the sum of its proper divisors (1865888448).

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

991428672 is a wasteful number, since it uses less digits than its factorization.

991428672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4580 (or 4570 counting only the distinct ones).

The product of its digits is 435456, while the sum is 48.

The square root of 991428672 is about 31486.9603486904. The cubic root of 991428672 is about 997.1346884981.

The spelling of 991428672 in words is "nine hundred ninety-one million, four hundred twenty-eight thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 89 96 104 156 178 192 208 267 312 356 416 534 624 712 832 1068 1157 1248 1424 2136 2314 2496 2848 3471 4272 4463 4628 5696 6942 8544 8926 9256 13389 13884 17088 17852 18512 26778 27768 35704 37024 53556 55536 58019 71408 74048 107112 111072 116038 142816 174057 214224 222144 232076 285632 348114 397207 428448 464152 696228 794414 856896 928304 1191621 1392456 1588828 1856608 2383242 2784912 3177656 3713216 4766484 5163691 5569824 6355312 9532968 10327382 11139648 12710624 15491073 19065936 20654764 25421248 30982146 38131872 41309528 61964292 76263744 82619056 123928584 165238112 247857168 330476224 495714336 991428672