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97943552 = 2157261
BaseRepresentation
bin1011101011010…
…00000000000000
320211022001021222
411311220000000
5200033143202
613415134212
72266335500
oct565500000
9224261258
1097943552
1150317493
1228974368
13173a3785
14d017a00
1588ea4a2
hex5d68000

97943552 has 96 divisors (see below), whose sum is σ = 231600690. Its totient is φ = 41287680.

The previous prime is 97943533. The next prime is 97943557. The reversal of 97943552 is 25534979.

It can be written as a sum of positive squares in only one way, i.e., 97140736 + 802816 = 9856^2 + 896^2 .

Its product of digits (340200) is a multiple of the sum of its prime divisors (70).

It is a zygodrome in base 7.

It is not an unprimeable number, because it can be changed into a prime (97943557) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1605602 + ... + 1605662.

Almost surely, 297943552 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 97943552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115800345).

97943552 is an abundant number, since it is smaller than the sum of its proper divisors (133657138).

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

97943552 is an frugal number, since it uses more digits than its factorization.

97943552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 70 counting only the distinct ones).

The product of its digits is 340200, while the sum is 44.

The square root of 97943552 is about 9896.6434713998. The cubic root of 97943552 is about 460.9550918277.

The spelling of 97943552 in words is "ninety-seven million, nine hundred forty-three thousand, five hundred fifty-two".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 61 64 98 112 122 128 196 224 244 256 392 427 448 488 512 784 854 896 976 1024 1568 1708 1792 1952 2048 2989 3136 3416 3584 3904 4096 5978 6272 6832 7168 7808 8192 11956 12544 13664 14336 15616 16384 23912 25088 27328 28672 31232 32768 47824 50176 54656 57344 62464 95648 100352 109312 114688 124928 191296 200704 218624 229376 249856 382592 401408 437248 499712 765184 802816 874496 999424 1530368 1605632 1748992 1998848 3060736 3497984 6121472 6995968 12242944 13991936 24485888 48971776 97943552