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97470480 = 2435478641
BaseRepresentation
bin1011100111101…
…00100000010000
320210102000100210
411303310200100
5144423023410
613401044120
72262325332
oct563644020
9223360323
1097470480
1150024018
1228786640
1317269353
14cd33452
158855220
hex5cf4810

97470480 has 80 divisors (see below), whose sum is σ = 308623104. Its totient is φ = 25436160.

The previous prime is 97470383. The next prime is 97470509. The reversal of 97470480 is 8407479.

It is a tau number, because it is divible by the number of its divisors (80).

It is a nialpdrome in base 15.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6960 + ... + 15600.

Almost surely, 297470480 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 97470480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154311552).

97470480 is an abundant number, since it is smaller than the sum of its proper divisors (211152624).

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

97470480 is a wasteful number, since it uses less digits than its factorization.

97470480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8704 (or 8698 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 39.

The square root of 97470480 is about 9872.7139125977. The cubic root of 97470480 is about 460.2117487629.

It can be divided in two parts, 97470 and 480, that multiplied together give a square (46785600 = 68402).

The spelling of 97470480 in words is "ninety-seven million, four hundred seventy thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 47 48 60 80 94 120 141 188 235 240 282 376 470 564 705 752 940 1128 1410 1880 2256 2820 3760 5640 8641 11280 17282 25923 34564 43205 51846 69128 86410 103692 129615 138256 172820 207384 259230 345640 406127 414768 518460 691280 812254 1036920 1218381 1624508 2030635 2073840 2436762 3249016 4061270 4873524 6091905 6498032 8122540 9747048 12183810 16245080 19494096 24367620 32490160 48735240 97470480