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996948544 = 261719291663
BaseRepresentation
bin111011011011000…
…011101001000000
32120110221020022011
4323123003221000
54020204323134
6242532022304
733463631344
oct7333035100
92513836264
10996948544
1147182a219
12239a61994
1312b70c2a7
1496595624
155c7cc264
hex3b6c3a40

996948544 has 112 divisors (see below), whose sum is σ = 2282342400. Its totient is φ = 428875776.

The previous prime is 996948539. The next prime is 996948551. The reversal of 996948544 is 445849699.

It is a Harshad number since it is a multiple of its sum of digits (58).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 598657 + ... + 600319.

Almost surely, 2996948544 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 996948544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1141171200).

996948544 is an abundant number, since it is smaller than the sum of its proper divisors (1285393856).

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

996948544 is a wasteful number, since it uses less digits than its factorization.

996948544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1740 (or 1730 counting only the distinct ones).

The product of its digits is 11197440, while the sum is 58.

The square root of 996948544 is about 31574.4919832450. The cubic root of 996948544 is about 998.9818116443.

The spelling of 996948544 in words is "nine hundred ninety-six million, nine hundred forty-eight thousand, five hundred forty-four".

Divisors: 1 2 4 8 16 17 19 29 32 34 38 58 64 68 76 116 136 152 232 272 304 323 464 493 544 551 608 646 928 986 1088 1102 1216 1292 1663 1856 1972 2204 2584 3326 3944 4408 5168 6652 7888 8816 9367 10336 13304 15776 17632 18734 20672 26608 28271 31552 31597 35264 37468 48227 53216 56542 63194 74936 96454 106432 113084 126388 149872 192908 226168 252776 299744 385816 452336 505552 537149 599488 771632 819859 904672 916313 1011104 1074298 1543264 1639718 1809344 1832626 2022208 2148596 3086528 3279436 3665252 4297192 6558872 7330504 8594384 13117744 14661008 15577321 17188768 26235488 29322016 31154642 34377536 52470976 58644032 62309284 124618568 249237136 498474272 996948544