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97790976 = 21036131
BaseRepresentation
bin1011101010000…
…10110000000000
320211000022000000
411311002300000
5200013302401
613412000000
72265131613
oct565026000
9224008000
1097790976
1150222898
1228900000
131734c1aa
14cdb817a
1588ba186
hex5d42c00

97790976 has 154 divisors (see below), whose sum is σ = 295332972. Its totient is φ = 32348160.

The previous prime is 97790969. The next prime is 97790983. The reversal of 97790976 is 67909779.

It is an interprime number because it is at equal distance from previous prime (97790969) and next prime (97790983).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 746431 + ... + 746561.

Almost surely, 297790976 is an apocalyptic number.

97790976 is a gapful number since it is divisible by the number (96) 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 97790976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147666486).

97790976 is an abundant number, since it is smaller than the sum of its proper divisors (197541996).

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

97790976 is an equidigital number, since it uses as much as digits as its factorization.

97790976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 1500282, while the sum is 54.

The square root of 97790976 is about 9888.9319949123. The cubic root of 97790976 is about 460.7156095458.

The spelling of 97790976 in words is "ninety-seven million, seven hundred ninety thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 131 144 162 192 216 243 256 262 288 324 384 393 432 486 512 524 576 648 729 768 786 864 972 1024 1048 1152 1179 1296 1458 1536 1572 1728 1944 2096 2304 2358 2592 2916 3072 3144 3456 3537 3888 4192 4608 4716 5184 5832 6288 6912 7074 7776 8384 9216 9432 10368 10611 11664 12576 13824 14148 15552 16768 18864 20736 21222 23328 25152 27648 28296 31104 31833 33536 37728 41472 42444 46656 50304 56592 62208 63666 67072 75456 82944 84888 93312 95499 100608 113184 124416 127332 134144 150912 169776 186624 190998 201216 226368 248832 254664 301824 339552 373248 381996 402432 452736 509328 603648 679104 746496 763992 905472 1018656 1207296 1358208 1527984 1810944 2037312 2716416 3055968 3621888 4074624 5432832 6111936 8149248 10865664 12223872 16298496 24447744 32596992 48895488 97790976