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97407948 = 22311799341
BaseRepresentation
bin1011100111001…
…01001111001100
320210021211120210
411303211033030
5144414023243
613355442420
72261645121
oct563451714
9223254523
1097407948
114aa91040
1228756410
1317246a51
14cd18748
158841933
hex5ce53cc

97407948 has 48 divisors (see below), whose sum is σ = 251112960. Its totient is φ = 29140800.

The previous prime is 97407941. The next prime is 97407949. The reversal of 97407948 is 84970479.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 97407897 and 97407906.

It is not an unprimeable number, because it can be changed into a prime (97407941) 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, 5758 + ... + 15098.

It is an arithmetic number, because the mean of its divisors is an integer number (5231520).

Almost surely, 297407948 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 97407948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125556480).

97407948 is an abundant number, since it is smaller than the sum of its proper divisors (153705012).

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

97407948 is a wasteful number, since it uses less digits than its factorization.

97407948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9438 (or 9436 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 48.

The square root of 97407948 is about 9869.5464941404. The cubic root of 97407948 is about 460.1133117202.

The spelling of 97407948 in words is "ninety-seven million, four hundred seven thousand, nine hundred forty-eight".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 79 132 158 237 316 474 869 948 1738 2607 3476 5214 9341 10428 18682 28023 37364 56046 102751 112092 205502 308253 411004 616506 737939 1233012 1475878 2213817 2951756 4427634 8117329 8855268 16234658 24351987 32469316 48703974 97407948